Dynamic mode decomposition of magnetohydrodynamic bubble chain flow in a rectangular vessel

TL;DR

This paper applies dynamic mode decomposition to analyze flow patterns in magnetohydrodynamic bubble chains within a liquid metal vessel, revealing effects of magnetic fields and gas flow rates on flow structures.

Contribution

It introduces a DMD-based analysis method for two-phase MHD flows and demonstrates its application to bubble chain dynamics in a liquid gallium vessel.

Findings

Magnetic fields influence bubble wake flow structures.

Flow rate affects large-scale flow patterns.

DMD effectively captures flow mode dynamics.

Abstract

We showcase the dynamic mode decomposition (DMD) code developed for applications in two-phase flow analysis. Vertical bubble chain flow in a rectangular vessel filled with liquid gallium is studied without and with applied static horizontal magnetic field (MF) and DMD is applied to the velocity fields computed via volume of fluid simulations. Flow patterns are investigated in the vessel and bubble reference frames. We demonstrate the effect of applied MF and gas flow rate on bubble wake flow and larger scale flow structures within the liquid metal vessel by examining velocity field mode statistics over trajectory time and total flow time, as well as the computed mode velocity fields.